Suppose you want to install carpet in a room that measures 18 meters by 22 meters. The carpet you want to use costs $28.50 per square meter and comes only in rolls that are 12 meters wide.

(a) If you allow only one seam (where two pieces of carpet meet), what is the most efficient way to lay the carpet? Show why your selection is the most efficient one.

(b) For the configuration you selected in (a), how much will the carpet cost?